GCD of 58, 825, 707, 993 Calculator

Given Input numbers are 58, 825, 707, 993

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 58, 825, 707, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 825, 707, 993 is 1.

Therefore, GCD of numbers 58, 825, 707, 993 is 1

Given Input Data is 58, 825, 707, 993

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 58 is 2 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 707 is 7 x 101

Prime Factorization of 993 is 3 x 331

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(58, 825) = 47850

GCD(58, 825) = ( 58 x 825 ) / 47850

GCD(58, 825) = 47850 / 47850

GCD(58, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 58, 825, 707, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 588, 659, 707
• GCD of 93, 700, 720, 298
• GCD of 52, 292, 710, 510
• GCD of 64, 325, 215, 411
• GCD of 23, 656, 521, 605

1. What is the GCD of 58, 825, 707, 993?

GCD of 58, 825, 707, 993 is 1

2. Where do I get the detailed procedure to find GCD of 58, 825, 707, 993?

You can find a detailed procedure to find GCD of 58, 825, 707, 993 on our page.

3. How to find GCD of 58, 825, 707, 993 on a calculator?

You can find the GCD of 58, 825, 707, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.